A new band asked its audience to rate the band's performance on a scale from 1 (poor) through 5 (excellent). The table below gives the percentage of the audience that gave each of the ratings. To the nearest 0.1, what was the mean rating given by this audience?

$$ \begin{array}{|c|c|} \hline \text{Rating} & \text{Percentage} \\ \hline 1 & 0\% \\ 2 & 0\% \\ 3 & 10\% \\ 4 & 70\% \\ 5 & 20\% \\ \hline \end{array} $$

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Calculate the weighted average by summing the product of the rating with its respective percentage:

$$ 1(0) + 2(0) + 3(0.1) + 4(0.7)+ 5(0.2) $$ $$ = 0 + 0 + 0.3 + 2.8 + 1.0$$ $$ = \boxed{4.1} $$